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Sep 22
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Partly cloudy with an (infinitesimal) chance of satellite

According to NASA, there is a 1 in 3200 chance that somebody will be hit by a satellite on Friday.  So what is the probability that an individual person (for example, you) will be hit?

p(somebody is hit) = 1/3200

p(nobody is hit) = 3199/3200

Assuming that the each individual has an equal chance of being hit (and such events are independent),  

p(nobody is hit) = p(you’re not hit)7x109

p(you’re not hit) = (3199/3200)1/(7x109)0.999,999,999,999,95537

p(you’re hit) = 1-p(you’re not hit) = 4.4631x10-14 = 1 / 22,405,968,295,375

So, your individual odds of being hit by the satellite are 1 in 22.406 trillion.